An even number is an integer that can be divided by 2 without leaving a remainder. This means that when you divide an even number by 2, the result is always a whole number. Examples of even numbers include 0, 2, 4, 6, and 8. Even numbers can be found in both positive and negative forms, such as −2, −4, and 10. They are part of the broader category of integers, which also includes odd numbers. Even numbers are often used in various mathematical operations and are fundamental in number theory.